The win helped Celtic move 20 points ahead of Hearts with six games to go.
With the title virtually certain to go to Celtic, Hearts manager Valdas Ivanauskas, who took over after Graham Rix was fired two weeks ago, made five changes from the lineup that beat Edinburgh neighbor Hibernian 4-0 on Sunday to reach the Scottish Cup final.
Although second place for Hearts would mean a place in the Champions League, Rangers, who have 51 league titles and won the championship last season, are only three points behind.
Also on Wednesday, Hibernian came from behind to beat Kilmarnock 2-1 at Easter Road to regain fourth place.
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